An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $58 m$ $58 m$ . If the wheel attached to the axle has a radius of $70 m$ $70 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-03-31T10:26:39

The force to be applied is $= 56.84 N$ $=56.84N$

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The load $= (7 g) N$ $=(7g)N$

Radius of axle $r = 58 m$ $r=58m$

Radius of wheel $R = 70 m$ $R=70m$

Taking moments about the center of the axle

$F \cdot 70 = 7 \cdot g \cdot 58$ $F*70=7*g*58$

$F = \frac{7 \cdot g \cdot 58}{70} = 56.84 N$ $F=(7*g*58)/70=56.84N$

An object with a mass of 7kg7 kg is hanging from an axle with a radius of 58m58 m. If the wheel attached to the axle has a radius of 70m70 m, how much force must be applied to the wheel to keep the object from falling?